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Finding the Fourth Proportional to 489,580.51, 734,215.23 and 157,078.75

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Solution

The fourth proportional to 489,580.51, 734,215.23 and 157,078.75 is: 235,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,580.51 : 734,215.23 = 157,078.75 : x
  2. Step 2: Convert to fraction form
    489,580.51/734,215.23 = 157,078.75/x
  3. Step 3: Cross multiply
    489,580.51x = 734,215.23 × 157,078.75
  4. Step 4: Simplify right side
    489,580.51x = 115,329,610,559.36
  5. Step 5: Solve for x
    x = 115,329,610,559.36/489,580.51
  6. Step 6: Final answer
    x = 235,568.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.